Workers for a Ronkonkoma-based school bus company are scheduled to vote from Thursday through Monday on a new contract offer union leaders negotiated the day after a narrow majority of voters elected to strike, officials said.

Timothy Lynch, president of Teamsters Local 1205, said bus drivers and other workers for Baumann & Sons Inc., and its affiliate, Acme Buses, will vote at their work sites. The outcome will affect 15,000 Long Island students who ride the buses each school day in about 35 school districts in Nassau and Suffolk counties.

The new vote is expected to draw more of the estimated 1,035 union workers eligible to participate.

The union had demanded increased pay and contributions for health and other benefits and better working conditions.

Officials for Baumann had said the final offer -- which was rejected -- would have had the company spending 12 percent to 14 percent more on employee costs, including raises (starting in the second and third years of a three-year contract for most workers) and benefits.

A strike would have affected districts unevenly, with some using few Baumann/Acme vehicles for student transportation, while others -- such as the Commack school district -- rely on the company for all of their busing needs.